Solution of the K3 Option 84 (Fig. 8 cond. 4) Targ 1988

The solution to the problem K3 Option 84 on the theoretical mechanics of the training manual Targ SM 1988 .. Conditions to the problem of kinematics №2 (p. 26 in the training manual Targ SM): a rectangular plate (Fig. K3.0 K3.5-) or circular plate of radius R = 60 cm (Fig. K3.6 -K3.9) rotates about its axis at a constant angular velocity "omega", given in Table Q3 (minus sign if the direction of "Omega" is opposite to that shown in the figure). The rotation axis in Fig. K3.0 K3.3 and K3.8,, K3.9 perpendicular to the plane of the plate and passes through the point (plate rotates in its plane); Fig. K3.4, K3.7 OO1 rotation axis lies in the plane of the plate (plate rotates in space). At the plate along the line BD (Fig. K3.0 K3.5-) or a circle of radius R, m. E. The rim of the plate (Fig. K3.6 K3.9-) moves point M. Law its relative motion, expressed by the equation s = AM = f (t) (s - in centimeters, t - in seconds) specified in Table. R ^ separately for rice. K3.0 K3.5, and Fig. K3.6 K3.9, while in Fig. 6-9 s = AM and measured along the arc of a circle; ibid given dimensions b and l. In all the figures the point M are shown in a position in which s = AM> 0 (if s <0, the point M is on the other side of the point A). To determine the absolute speed and the absolute acceleration of the point M at time t1 = 1 sec.

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